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Finding the Third Proportional to 644,082 and 946,422

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Solution

The third proportional to 644,082 and 946,422 is: 1,390,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,082 : 946,422 = 946,422 : x
  2. Step 2: Convert to fraction form
    644,082/946,422 = 946,422/x
  3. Step 3: Cross multiply
    644,082x = 946,422 × 946,422
  4. Step 4: Simplify right side
    644,082x = 895,714,602,084
  5. Step 5: Solve for x
    x = 895,714,602,084/644,082
  6. Step 6: Final answer
    x = 1,390,684.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.